Least Common Multiple of 808/647, 971/345, 586/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/647, 971/345, 586/663 quickly i.e. 229878424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/647, 971/345, 586/663 is 229878424.

LCM(808/647, 971/345, 586/663) = 229878424

LCM of 808/647, 971/345, 586/663

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 808/647,971/345,586/663

Given numbers are 808/647,971/345,586/663

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 808,971,586

Least Common Multiple of Numerators i.e. LCM of 808,971,586 is 229878424.

GCF of Denominators means GCF of 647,345,663 as per the given fractions.

GCF of 647,345,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,971,586

LCM of Fractions 808/647,971/345,586/663 is 229878424

2 808, 971, 586
404, 971, 293

∴ So the LCM of the given numbers is 2 x 404 x 971 x 293 = 229878424

Least Common Multiple of 808,971,586 with GCF Formula

Least Common Multiple of 808,971,586 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 808,971,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,971,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(808,971,586) x common factors =1 x 2 = 2

LCM(808,971,586) = ( 808 × 971 × 586 ) / 2

LCM(808,971,586) = 459756848 / 2

LCM(808,971,586) = 229878424


Lets's calculate GCF of 647,345,663

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229878424/1

Therefore the LCM of Fractions 808/647,971/345,586/663 is 229878424

Greatest Common Factor of 647,345,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,345,663 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 647,345,663 . The biggest common factor number is the GCF number.
So the greatest common factor 647,345,663 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 808/647, 971/345, 586/663

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 808/647, 971/345, 586/663?

Answer: LCM of Numerators as per given numbers 808/647, 971/345, 586/663 is

LCM of Numerators i.e. for 808,971,586 is 229878424

GCF of denominators i.e. for 647,345,663 is 1.

Thus, LCM of Fractions is 229878424.Finally, LCM of Fractions for 808/647, 971/345, 586/663 is 229878424.